Answer:
Legs are 4.2m long.
Base is 7.2m long
Explanation:
x = leg
y = base
We can write 2 equations with the info given
y = x + 3
2x + y = 15.6
We can solve this as a system of equations.
y = x + 3
-(2x + y = 15.6) --- make the bottom equation negative
-2x = x - 12.6 --- add the bottom to the top, canceling out the y
-2x + 12.6 = x --- add 12.6 to both sides
12.6 = 3x --- add 2x to both sides
4.2 = x --- divide both sides by 3
x = 4.2
Now we can solve for y.
y = x + 3
y = (4.2) + 3 --- substitute in the x
y = 7.2 --- simplify
Check our answer.
2x + y = 15.6
2(4.2) + 7.2 = 15.6
8.4 + 7.2 = 15.6
15.6 = 15.6
The answer is correct